82520553570 has 768 divisors, whose sum is σ = 286682457600. Its totient is φ = 14956462080.

The previous prime is 82520553503. The next prime is 82520553601. The reversal of 82520553570 is 7535502528.

It is a happy number.

It is a super-2 number, since 2×82520553570² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 179003140 + ... + 179003600.

It is an arithmetic number, because the mean of its divisors is an integer number (373284450).

Almost surely, 2^82520553570 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82520553570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143341228800).

82520553570 is an abundant number, since it is smaller than the sum of its proper divisors (204161904030).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82520553570 is a wasteful number, since it uses less digits than its factorization.

82520553570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 420000, while the sum is 42.

The spelling of 82520553570 in words is "eighty-two billion, five hundred twenty million, five hundred fifty-three thousand, five hundred seventy".